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This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena and distinguish order from strongly and weakly chaotic regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored in partic...
This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School “Dynamical Systems and Complexity”, July 18 – 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world.
The essays in The Philosophy of Spirituality explore a new field in philosophy. Until recently, most philosophers in the analytic and continental Western traditions treated spirituality as a religious concept. Any non-religious spirituality tended to be neglected or dismissed as irremediably vague. Here, from various philosophical and cultural perspectives, it is addressed as a subject of independent interest. This is a philosophical response to increasing numbers of spiritual but not religious people inhabiting secular societies and the heightened interaction between a multitude of spiritual traditions in a globalized age. A provocative array of approaches (African, Indigenous, Indian, Stoic, and Sufic perspectives, as well as Western analytic and continental views) offer fresh insights, many articulated by emerging voices. Contributors are Mariapaola Bergomi, Moses Biney, Christopher Braddock, Drew Chastain, Kerem Eksen, Nikolay Milkov, Roderick Nicholls, Jerry Piven, Heather Salazar, Eric Steinhart, Richard White, Mark Wynn and Eric Yang.
This volume is an account of the lectures delivered at the international Conference ``Singularities and Dynamical Systems-83''. The main purpose of the Conference was to create conditions of scientific contact between mathematicians and physicists who have singularities and dynamical systems as common interests.
The first volume of the Advances in Robotics and Automatic Control: Reviews, Book Series started by IFSA Publishing in 2018 contains ten chapters written by 32 contributors from 9 countries: Belgium, China, Germany, India, Ireland, Japan, Serbia, Tunisia and USA. We hope that readers will enjoy this book and it can be a valuable tool for those who involved in research and development of various robots and automatic control systems.
The concept of transmitting information from one chaotic system to another derives from the observation of the synchronization of two chaotic systems. Having developed two chaotic systems that can be synchronized, scientists can modulate on one phase signal the information to be transmitted, and subtract (demodulate) the information from the corres
This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence of integrability, its geometrical relevance and dynamical consequences. Integrability theory is approached from different perspectives, first in terms of differential algebra, then in terms of complex time singularities and finally from the viewpoint of phase geometry (for both Hamiltonian and non-Hamiltonian systems). As generic systems of differential equations cannot be exactly solved, the book reviews the different notions of nonintegrability and shows how to prove the nonexistence of exact solutions and/or a constant of motion. Finally, nonintegrability theory is linked to dynamical systems theory by showing how the property of complete integrability, partial integrability or nonintegrability can be related to regular and irregular dynamics in phase space.
This book constitutes the refereed proceedings of the 10th International Conference on Cellular Automata for Research and Industry, ACRI 2012, held in Santorini Island, Greece, in September 2012. The 88 revised papers were carefully selected from numerous submissions. In order to give a perspective in which both theoretical and applicational aspects of cellular automata contribute to the growth of the area, this book mirrors the structure of the conference, grouping the 88 papers into two main parts. The first part collects papers presented as part of the main conference and organized according to six main topics: theoretical results on cellular automata; cellular automata dynamics, control ...
This book constitutes the thoroughly refereed proceedings of the Second International Conference on Brain Function Assessment in Learning, BFAL 2020, held in Heraklion, Crete, Greece, in October 2020*. The 11 revised full papers and 10 short papers presented were carefully selected from 35 submissions. The BFAL conference aims to regroup research in multidisciplinary domains such as neuroscience, computer science, medicine, education, human-computer interactions, and social interaction on the theme of Brain Function Assessment in Learning. *The conference was held virtually due to the COVID-19 pandemic.